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Finding the Third Proportional to 421,317 and 901,683

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Solution

The third proportional to 421,317 and 901,683 is: 1,929,739.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,317 : 901,683 = 901,683 : x
  2. Step 2: Convert to fraction form
    421,317/901,683 = 901,683/x
  3. Step 3: Cross multiply
    421,317x = 901,683 × 901,683
  4. Step 4: Simplify right side
    421,317x = 813,032,232,489
  5. Step 5: Solve for x
    x = 813,032,232,489/421,317
  6. Step 6: Final answer
    x = 1,929,739.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.